यदि \(A\cup B'=U\), तो निम्न में से कौन सा कथन अवश्य सत्य है?

If \(A\cup B'=U\), which of the following statements must be true?

Explanation opens after your attempt
Correct Answer

A. \(B\subseteq A\)

Step 1

Concept

Taking the complement of \(A\cup B'=U\) gives \(A'\cap B=\varnothing\). Therefore every element of (B) is in (A).

Step 2

Why this answer is correct

The correct answer is A. \(B\subseteq A\). Taking the complement of \(A\cup B'=U\) gives \(A'\cap B=\varnothing\). Therefore every element of (B) is in (A).

Step 3

Exam Tip

\(A\cup B'=U\) का पूरक लेने पर \(A'\cap B=\varnothing\) मिलता है। इसलिए (B) का हर सदस्य (A) में है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A\cup B'=U\), तो निम्न में से कौन सा कथन अवश्य सत्य है? / If \(A\cup B'=U\), which of the following statements must be true?

Correct Answer: A. \(B\subseteq A\). Explanation: \(A\cup B'=U\) का पूरक लेने पर \(A'\cap B=\varnothing\) मिलता है। इसलिए (B) का हर सदस्य (A) में है। / Taking the complement of \(A\cup B'=U\) gives \(A'\cap B=\varnothing\). Therefore every element of (B) is in (A).

Which concept should I revise for this Mathematics MCQ?

Taking the complement of \(A\cup B'=U\) gives \(A'\cap B=\varnothing\). Therefore every element of (B) is in (A).

What exam hint can help solve this Mathematics question?

\(A\cup B'=U\) का पूरक लेने पर \(A'\cap B=\varnothing\) मिलता है। इसलिए (B) का हर सदस्य (A) में है।